26672672 has 48 divisors (see below), whose sum is σ = 57220632. Its totient is φ = 12165120.

The previous prime is 26672647. The next prime is 26672683. The reversal of 26672672 is 27627662.

It can be written as a sum of positive squares in 4 ways, for example, as 21492496 + 5180176 = 4636^2 + 2276^2 .

It is a super-2 number, since 2×26672672² = 1422862863239168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40022 + ... + 40682.

Almost surely, 2^26672672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26672672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28610316).

26672672 is an abundant number, since it is smaller than the sum of its proper divisors (30547960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26672672 is a wasteful number, since it uses less digits than its factorization.

26672672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its digits is 84672, while the sum is 38.

The square root of 26672672 is about 5164.5592261102. The cubic root of 26672672 is about 298.7827416949.

The spelling of 26672672 in words is "twenty-six million, six hundred seventy-two thousand, six hundred seventy-two".